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The value of the expression 1.(2-omega)....

The value of the expression `1.(2-omega).(2-omega^2)+2.(3-omega)(3-omega^2)+.+(n-1)(n-omega)(n-omega^2),` where omega is an imaginary cube root of unity, is………

A

`{(n(n+1))/(2)}^(2)`

B

`{(n(n+1))/(2)}^(2)-n`

C

`{(n(n+1))/(2)}^(2)+n`

D

none of these

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The correct Answer is:
c
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Chapter Test
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  3. The value of the expression 1.(2-omega).(2-omega^2)+2.(3-omega)(3-omeg...

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  4. The value of the expression (1+1/omega)(1+1/omega^(2))+(2+1/omega)(2+...

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  11. Sum of the series sum(r=0)^n (-1)^r ^nCr[i^(5r)+i^(6r)+i^(7r)+i^(8r)] ...

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  12. If az(1)+bz(2)+cz(3)=0 for complex numbers z(1),z(2),z(3) and real num...

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  15. The vertices of a square are z1,z2,z3 and z4 taken in the anticlockwis...

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  18. If P,P^(') represent the complex number z(1) and its additive inverse ...

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  19. Let A(z(1)),B(z(2)),C(z(3)) be the vertices of an equilateral triangle...

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